Given numbers are 546,594,172,786,990

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 546,594,172,786,990 is 3044861820.

Find LCM of 546,594,172,786,990 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 3 x 11 x 91 x 3 x 86 x 131 x 5 = 3044861820

Therefore, the lowest common multiple of 546,594,172,786,990 is 3044861820.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

546 x 594 x 172 x 786 x 990 = 43407550105920

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

172 : 1, 2, 4, 43, 86, 172

786 : 1, 2, 3, 6, 131, 262, 393, 786

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,594,172,786,990, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

594:2x 3x 3x 3x 11

172:2x 2x 43

786:2x 3x 131

990:2x 3x 3x 5x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 3x 3x 11 = 7128

Therefore, the value for common factors is 7128.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 43407550105920/(2x7128)

LCM = 43407550105920/14256

LCM = 3044861820

Thus, we can understand that the LCM of 546,594,172,786,990 is 3044861820.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 806, 667, 820, 771, 705
• LCM of 418, 993, 936, 416, 371
• LCM of 544, 963, 586, 707, 216
• LCM of 284, 638, 988, 666, 802
• LCM of 177, 399, 526, 185, 973

1. What is the LCM of 546, 594, 172, 786, 990?

Answer: LCM of 546, 594, 172, 786, 990 is 3044861820.

2. How to calculate the LCM of 546, 594, 172, 786, 990?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 546, 594, 172, 786, 990.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.